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Finding the Fourth Proportional to 7,404.98, 10,212.26 and 6,144.03

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Solution

The fourth proportional to 7,404.98, 10,212.26 and 6,144.03 is: 8,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.98 : 10,212.26 = 6,144.03 : x
  2. Step 2: Convert to fraction form
    7,404.98/10,212.26 = 6,144.03/x
  3. Step 3: Cross multiply
    7,404.98x = 10,212.26 × 6,144.03
  4. Step 4: Simplify right side
    7,404.98x = 62,744,401.09
  5. Step 5: Solve for x
    x = 62,744,401.09/7,404.98
  6. Step 6: Final answer
    x = 8,473.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.